{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# autograd库使用\n",
    "\n",
    "参考资料：https://colab.research.google.com/github/jermwatt/machine_learning_refined/blob/main/notes/3_First_order_methods/B_10_Automatic.ipynb#scrollTo=CuMNKsdyST27"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. 安装autograd库"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Looking in indexes: https://mirrors.aliyun.com/pypi/simple\n",
      "Requirement already satisfied: autograd in /root/miniconda3/envs/d2l/lib/python3.9/site-packages (1.6.2)\n",
      "Requirement already satisfied: future>=0.15.2 in /root/miniconda3/envs/d2l/lib/python3.9/site-packages (from autograd) (1.0.0)\n",
      "Requirement already satisfied: numpy>=1.12 in /root/miniconda3/envs/d2l/lib/python3.9/site-packages (from autograd) (1.23.1)\n",
      "\u001b[33mWARNING: Running pip as the 'root' user can result in broken permissions and conflicting behaviour with the system package manager. It is recommended to use a virtual environment instead: https://pip.pypa.io/warnings/venv\u001b[0m\n"
     ]
    }
   ],
   "source": [
    "! pip install autograd"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.autograd使用"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.1 单输入函数：导数计算和泰勒逼近"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 1.计算单输入函数的导数\n",
    "\n",
    "tanh函数及其导数\n",
    "\n",
    "- g(w) = tanh(w)\n",
    "- g'(w) = 1 - (tanh(w))^2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import autograd.numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 1. 定义函数\n",
    "g = lambda w: np.tanh(w)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 1.0)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g(0), g(100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 2.计算梯度\n",
    "from autograd import grad\n",
    "# 创建一阶导数函数（不是一个代数函数，而是一个Python函数）\n",
    "dgdw = grad(g)\n",
    "# 创建二阶导数函数\n",
    "dgdw2 = grad(dgdw)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 3.绘图\n",
    "%matplotlib inline\n",
    "from matplotlib import rcParams\n",
    "rcParams['figure.autolayout'] = True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "w = np.linspace(-5,5,500)          # w\n",
    "g_vals = [g(v) for v in w]         # g\n",
    "dg_vals = [dgdw(v) for v in w]     # dg\n",
    "dg2_vals = [dgdw2(v) for v in w]        # dg2\n",
    "\n",
    "# plot\n",
    "fig = plt.figure(figsize = (8,4))\n",
    "plt.plot(w,g_vals,linestyle='-')\n",
    "plt.plot(w,dg_vals,linestyle='--')\n",
    "plt.plot(w,dg2_vals,linestyle='-.')\n",
    "plt.legend(['$g(w)$',\n",
    "            r'$\\frac{\\mathrm{d}}{\\mathrm{d}w}g(w)$',\n",
    "            r'$\\frac{\\mathrm{d}^2}{\\mathrm{d}w^2}g(w)$'],\n",
    "            fontsize = 13,\n",
    "            loc='lower right'\n",
    "            )\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2.函数和梯度值\n",
    "\n",
    "- value_and_grad 为求导后的代数函数，才可以得到各点的值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "from autograd import value_and_grad \n",
    "\n",
    "dgdw1 = value_and_grad(g)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0 1.0\n"
     ]
    }
   ],
   "source": [
    "w_val = 0.0     # 务必加小数点，不能只是整数\n",
    "g_val,grad_val = dgdw1(w_val)   # 函数值, 导数值\n",
    "print(g_val,grad_val)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.7615941559557649 0.4199743416140261\n"
     ]
    }
   ],
   "source": [
    "w_val = 1.0\n",
    "g_val,grad_val = dgdw1(w_val)   # 函数值, 导数值\n",
    "print(g_val,grad_val)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制函数值, 导数值\n",
    "w_vals = np.linspace(-5,5,200)\n",
    "\n",
    "# evaluate gradient over input range\n",
    "g_vals = [dgdw1(v)[0] for v in w_vals]    #\n",
    "dg_vals = [dgdw1(v)[1] for v in w_vals]\n",
    "\n",
    "# create figure\n",
    "fig = plt.figure(figsize = (7,3))\n",
    "\n",
    "# plot the function and derivative\n",
    "plt.plot(w_vals,g_vals,linewidth=2)\n",
    "plt.plot(w_vals,dg_vals,linewidth=2)\n",
    "plt.legend(['$g(w)$',r'$\\frac{\\mathrm{d}}{\\mathrm{d}w}g(w)$',r'$\\frac{\\mathrm{d}^2}{\\mathrm{d}w^2}g(w)$'],\n",
    "           loc='center left', \n",
    "           bbox_to_anchor=(1, 0.5),\n",
    "           fontsize = 13)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 3.计算泰勒级数逼近\n",
    "\n",
    "仅针对单输入函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 创建一阶泰勒函数的逼近函数\n",
    "first_order = lambda w_0,w: g(w_0) + dgdw(w_0)*(w - w_0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 创建二阶泰勒函数的逼近函数\n",
    "second_order = lambda w_0,w: g(w_0) + dgdw(w_0)*(w - w_0) + 0.5*dgdw2(w_0)*(w - w_0)**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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z82PlypWMHj2aihUr0rNnT/t206ZNY8yYMTRp0oSpU6cSFxfHO++8g79/5mFhIiMjufPOOzlx4gRPPfUU9evXJywsjLlz59KiRQv27t1LlSpVMuwzbtw44uPjeeaZZ3B3d2fevHn079+fGjVq0Lp1a/z9/VmxYgV9+vShTZs2DB48ODe/tHbBwcH873//Y8CAAfTs2ZOtW7eyePFinJycWLhwoX27EydO0KpVK5KSknj66acJDAzk8OHDzJs3j59++om9e/fi6+vrkBpFpGBJIZVxLOIdPrW33UZ11jKJQCqYWJlIPmMUMpGRkQZgREZGXnOb+Ph44+DBg0Z8fHweVmaepUuXGoDx008/ZXouMTHRSEpKytT+2muvGYCxe/due9tPP/1kAEa5cuWMS5cu2dtjY2ON0qVLGy1btrS3nT9/3vDw8DAaNmyY4escFhZm+Pj4ZKrnhRdeMDw8PIzg4OAMdYSEhBjFixc3+vXrl+n1NGrUyEhMTLS3nzp1ynBzczOeeOKJDMcAMux/I8eOHTMAIygo6IbHAQyLxWLs2rUrQ/sDDzxguLi4GNHR0fa2hx56yPD39zdOnjyZYds9e/YYzs7Omc5XFBS1n0WRm3HGuGDcbbxkYLS3L72NKUasoZ8TKRpuJsul0xXZLDTjGcK5YHYZmQRQkr0syNVjurm52R+npKQQHR1NamoqHTp04I033mD37t00b948wz4DBgzIcOXQy8uLli1bsnPnTnvb5s2bSUhIYOjQoRn6lgYEBNCrVy/mzZtnbzMMg1WrVtG2bVsqVKjAuXPn7M8VK1aMli1bsmnTpky1P/vssxnqr1ChArVq1eK///7L4VcjZ1q1akWLFi0ytN1zzz1s2LCBkJAQGjRoQGRkJN988w0DBgzAw8Mjw2usWrUqNWrUYNOmTZmG/BKRomU3B3mUCZwiAgAXnJnJMIbxiKaaFcmCgmwWwrlAKOduvGEhMXfuXObPn8+BAwewWq0Znrt48WKm7atXr56prVSpUpw/f96+fuzYMQBq166dadur2yIiIjh//jybNm3KstsBgJNT5r5g16rj+PHjWR7DUa5VB2D/mhw6dAir1crixYtZvHjxTR9HRIoGA4MFfM0LfEAyKQCUoxSfE0RrGppcnUj+pSCbhQBKml1ClhxR14wZMxg5ciT3338/L7zwAuXLl8fNzY3Q0FD69++fKdgCODs752oNhmEA0KFDB0aPHn3T+12rjvTj5ZXrfT3Sa0n/t3fv3vTr1y/LbT09PXO/OBHJ9+JJ5FlmsYzv7W1tuI3PCMq3v49E8gsF2Szk9sf3ZrveXforVqygatWqfPfddxmuen7//ffX3OdmVK1aFbBdibznnnsyPHfo0KEM6/7+/vj5+REVFUWHDh1u6bz5VY0aNbBYLCQlJRXa1ygi2XeMMLoTxB9c7hI1nEd5m2dw1a9okRvS2B1FgLe3NwAXLmTu9+vs7IzFYslwFTMlJYW33nrrls5533332UcSSEhIsLeHh4ezatWqDNs6OTnRq1cvfvvtN9asWZPl8W5leCpvb+8sX3teKlWqFA888ABr165l165dmZ43DIOIiAgTKhMRs2zkN5oxxB5ivfBgNa8xk2EKsSI3ST8pRcAdd9yBk5MTU6ZM4eLFixQrVoxq1arRokULHn30UcaOHUvnzp3p1q0bUVFRrF69GlfXW5uvu1SpUgQFBTFu3Dhat25N7969iYuLY+HChdSqVYu9e/dmuFI8ZcoUduzYweOPP87jjz9Oy5YtcXNz4/jx42zYsIGmTZuybNmyHNXSsmVLfvjhB6ZNm0blypWxWCw88cQTt/T6cmLevHncddddtG3blr59+9K4cWOsVitHjx5l/fr19O3bVzd7iRQBVqy8ySrGsxQD20WEGlRgLZNoiPrKi2SHgmwRULlyZZYsWcK0adMYOnQoycnJ9OvXjxYtWvDKK69gGAaLFy/mxRdfJCAggB49ejBgwADq1at3S+cdO3YsPj4+vPfee4wZM4bKlSvbz7d3794MfUJ9fX3ZsWMH7777Lp999hnr16/HxcWFihUrctdddzFw4MAc1zF37lyGDRvGlClTiI6OBjAlyFaqVIl9+/Yxbdo01q9fz8qVK/Hw8KBSpUo8+OCDPP7443lek4jkrUvE0JepfM2v9raHuJOPGIsv3iZWJlIwWYy8vjPGwaKiovD19SUyMhIfH58st0lISODYsWNUq1ZN046a4Pnnn2f27NmEhYUREBBgdjliIv0sSlGyn6N0YzyHCQXAgoXJPMVYemqWLpEr3EyWS6crsuIwCQkJmcJJWFgYH330EQ0aNFCIFZEi42N+ZCDTicN2z0BJfFjNq3Sk+Q32FJHrUZAVh9m6dSuvvPIK3bp1o2LFioSEhLBo0SJiYmJu+WYyEZGCIJkUXmE+7/GFva0xNVnLJKqiP+ZFbpWCrDhMjRo1CAwMZNGiRZw/fx4PDw+aNWvG2LFjNQSViBR6YZzncSaynf32tgF0Yg7D8cTdxMpECg8FWXGYGjVqsG7dOrPLEBHJczvYz2NMJAzb7H6uuPABzzOYBzXVrEguUpAVERHJJQYGs/mSEcwlhVQAKuLPGibQglsbCUZEMlOQFRERyQWxxPMMM1jFD/a2u2nMJ7xOGUqYWJlI4aUgKyIicosOE0o3xrOfo/a2UTzBFAbigrOJlYkUbgqyIiIit+AbdtKbKUQSC4A3nixjNN1pZ3JlIoWfgqyIiEgOpJLKRJYzmRX2tjpUZi2TqEsVEysTKToUZEVERLLpAlH0Ygrf85u9rTttWcpoiuNlYmUiRYuCrIiISDb8wX90J4hjhAHghBNTGcgrPKGhtUTymIKsiIjITfqIjTzDDBJIAqA0vnzKeO6hicmViRRNTmYXICLZV7VqVdq3b5/n5926dSsWi4Vly5bl+blFzJREMsOYRT/esofY5tThdxYqxIqYyKFB9ueff+bBBx+kfPnyWCyWm5rlaevWrTRp0gR3d3dq1KihX5i5IDg4mAkTJhASEmJ2KaaYMGGCZhjLhqL+/SJytVAiaMdw5rLe3vYMD/Iz71GJMiZWJiIODbKxsbHcfvvtzJkz56a2P3bsGF26dOHuu+8mODiY4cOHM3DgQDZu3OjIMgu94OBgJk6cWGSDycSJExVks+F63y9t27YlPj6ePn365H1hIibYSjBNeIZdHATAHVeWMIr5jMAdN5OrExGH9pHt3LkznTt3vunt58+fT7Vq1Xj33XcBqFu3Ltu3b2fmzJl07NjRUWWKFFrR0dEUL148147n5OSEh4dHrh1PJL8yMJjB54xmAalYAahCWb5gIk2pbXJ1IpIuX93stXPnTjp06JChrWPHjgwfPtycggqBCRMmMHHiRADuvvtue3u/fv1YtmwZ0dHRTJs2jc2bN3PkyBGio6OpVKkSjz76KOPHj8fL6/IwMlu3buXuu+9m6dKlGIbB9OnTOXz4MAEBAQwbNoxRo0ZlOv+8efOYNWsWISEhVK5cmRdffBFvb28GDBjATz/9lKGfZ2RkJG+++SZffPEFJ0+exMfHhw4dOjBlyhSqV69u327ZsmUMGDCAH3/8kd9//5158+Zx6tQpqlSpwquvvkq/fv0ACAkJoVq1agAsX76c5cuX249hGMZ1v24XL15k1KhRfPnll8THx3PHHXfw7rvvMnLkSEJCQjJcrbRYLPav55XS67zydZ4+fZp3332XH3/8kePHjxMfH0/16tXp168fL7/8Ms7OGWcAOnnyJCNHjmTjxo0YhkG7du2YNWtWljWn19GnTx+CgoIIDg6mWbNmbN269abPe6Pvlyu/B/r375/h6/nhhx/y4YcfcuDAAQCqVatG165dmTRp0nW/1iL5TQzxPM3bfMZWe9t9NONjXqMUvuYVlo8ZhkFqairJyckZlpSUlExtVz+fmpqK1Wq1/3utxzd6/kbbpr/vG4ZhX/LrelZf32t93fNqWz8/P+bNm5fl9mbKV0E2PDycsmXLZmgrW7YsUVFRxMfH4+npmWmfxMREEhMT7etRUVEOr7Mg6datG2FhYSxcuJBx48ZRt25dAAIDAwEIDQ3lww8/pHv37vTs2RMXFxe2bdvG22+/zR9//JFlt4758+dz5swZnn76afz8/Fi5ciWjR4+mYsWK9OzZ077dtGnTGDNmDE2aNGHq1KnExcXxzjvv4O/vn+mYkZGR3HnnnZw4cYKnnnqK+vXrExYWxty5c2nRogV79+6lSpWMA4yPGzeO+Ph4nnnmGdzd3Zk3bx79+/enRo0atG7dGn9/f1asWEGfPn1o06YNgwcPvqmvWXJyMh07dmTPnj306dOHli1bEhwcTIcOHShVqtRNf+2z8ueff7J27Vq6du1KYGAgycnJfP/994wZM4ajR4+yYMEC+7aXLl2ibdu2nDx5kiFDhlCvXj22bdvG3XffTXx8fJbH37t3L1988QWDBg2yB/rsnPdG3y/X0qdPH1atWkWLFi149dVX8fPz459//mHNmjUKslKgHOIEXRnP3xy3t71KbybSH+cCONVsYmIi0dHRREdHExUVZX985RIbG0tCQgIJCQnEx8df99+rH18ZSqVwCwgIyJdBFiOPAMaXX3553W1q1qxpvPnmmxnavv32WwMw4uListwnKCjIADItkZGR1zxPfHy8cfDgQSM+Pj7br6MgWrp0qQEYP/30U6bnEhMTjaSkpEztr732mgEYu3fvtrf99NNPBmCUK1fOuHTpkr09NjbWKF26tNGyZUt72/nz5w0PDw+jYcOGGb7OYWFhho+PT6Z6XnjhBcPDw8MIDg7OUEdISIhRvHhxo1+/fpleT6NGjYzExER7+6lTpww3NzfjiSeeyHAMIMP+N7JgwQIDMMaPH5+hfebMmQZgVKlS5aaOn9XXPS4uzrBarZm27d27t+Hk5GScPn3a3jZ27FgDMJYsWZJh2xdffNEAjHbt2mWqAzA2b96c6fjZOe/1vl/SvweWLl1qb/v0008NwOjdu7eRmpqaYfur169W1H4WJX9ba/xsFDceMDDaGxjtDR+ji7HO+MXssgzDsL1XHz9+3Ni1a5fx9ddfG8uXLzdmzJhhvPbaa8bQoUONHj16GB06dDCaNGliVK1a1ShZsqTh6uqa5e9HLVpysgQEBOTZ93tkZKQB189y6fLVFdmAgADOnDmToe3MmTP4+PhkeTUWYOzYsYwYMcK+HhUVRaVKlW6pjmZ7ITzplg7hEAFusLdZ7h7Tze3yzQopKSlER0eTmppKhw4deOONN9i9ezfNmzfPsM+AAQPw9fW1r3t5edGyZUt27txpb9u8eTMJCQkMHTo0Q5/KgIAAevXqleGvOsMwWLVqFW3btqVChQqcO3fO/lyxYsVo2bIlmzZtylT7s88+m6H+ChUqUKtWLf77778cfjVs1q1bh7OzMyNHjszQPnToUIKCgm7p2Fd+HyclJRETE4PVaqVjx46sXLmSvXv38uCDD9rrKFu2LH379s1wjNGjR/Pee+9lefzbb789U/ec7J43u1atWgXA9OnTcXLKeP/o1esi+VEqqbzGEt5itb2tPlVZyyRqcWu/T25GdHQ0x44d4+jRoxw/fpywsLBMy/nz5x1ex424ubnh6emJh4eHfXF1db3m4uLict3n07dxdnbG2dkZJycnnJycHPLYyckJi8ViX4BsrZuxT1au1Z4X+1zd9S2/yFdBtlWrVmzYsCFD2+bNm2nVqtU193F3d8fd3T1X6whPgtB8GGQdZe7cucyfP58DBw5gtVozPHfx4sVM21/ZXzVdqVKlMrzRHjt2DIDatTPfFHF1W0REBOfPn2fTpk1ZdjuArAPRteo4fvx4pvbsOHr0KOXKlcPHxydDu7u7O9WrV8/ya3KzUlJSeOutt/joo484fPhwpn5IVx776NGj3HHHHZnePMqVK4efn1+Wx69Vq9Ytnze7/vvvP8qVK5epW5BIQXCOSJ5kMj+wz97Wg7v5kFfwJusLKNllGAZhYWEcPHiQI0eOcOzYMXtwPXbsWK6GVGdnZ0qUKIGvry/Fixe3Lz4+PhnWr1y8vb0zBNT0x1eHVv1hKvmRQ4NsTEwMhw8ftq8fO3aM4OBgSpYsSeXKlRk7diyhoaF89NFHAAwZMoTZs2czatQonnrqKbZs2cJnn33Gt99+68gyMwnIpyOqOKKuGTNmMHLkSO6//35eeOEFypcvj5ubG6GhofTv3z9TsIXc/6ssPVR16NCB0aNH3/R+16rj6pBmlpSUlExtI0aM4IMPPqBHjx68+uqrlClTBldXV37//XdGjx6d5dc7O668OS8vzytSEO3hHx5lAiewfRLojBPTGcqLdM/xVLMXL15k37597N+/n4MHD9qXS5cu5eh47u7ulCtXjnLlyhEQEGD/o7FUqVKULFnS/m/6Yx8fn+tegRMpbBwaZPfu3Zvhzuf0LgDpd0CHhYVx4sQJ+/PVqlXj22+/5aWXXuK9996jYsWKfPjhh3k+9FZuf3xvtuu9qa1YsYKqVavy3XffZfhr+/vvv7+lc1atWhWAQ4cOcc8992R47tChQxnW/f398fPzIyoqKsuPxfNa9erV2bRpE1FRURmuyiYmJnL06FFKlCiRYfuSJUty4cKFTMc5evRoprYVK1bQtm1bPvnkkwztV/7Bd2Ud//33H6mpqRlCe1hYWLZ/KWbnvNn9JVirVi3Wr1/PmTNndFVWCowP+ZZhvEcStpuUylKCzwiiLbff9DGioqL47bff2LdvH3v37mXfvn32T6NuhpOTExUrVqRatWoZlgoVKthDq5+fn4KpyHU4NMi2b9/+ulfHspq1q3379vzxxx8OrKro8fb2BsgybDk7O2OxWDL8P6V/DH0r7rvvPvtIAgMGDLD3kw0PD7f3qUzn5OREr169mDNnDmvWrOHRRx/NdLyzZ89SpkzOZtDx9vbO8rVfy8MPP8x3333Hu+++ax+KCmxDiUVFRWUKsrVq1WLnzp3ExcXZr4hevHiRpUuXZjq2s7Nzpp+J2NhYZs6cmWUd6d0BBgwYYG+fNm3aTb+WnJz3et8vWenVqxfr169n1KhRLF26NMMfRIZh6Jew5CsJJPE87/Mhlz/pa0V91jCB8pS+7r4RERFs376dn3/+mZ9//png4OCb+jSjcuXK1KtXj3r16lGrVi2qV69OtWrVqFy5coZ+/iKSffmqj6w4xh133IGTkxNTpkzh4sWLFCtWjGrVqtGiRQseffRRxo4dS+fOnenWrRtRUVGsXr0aV1fXWzpnqVKlCAoKYty4cbRu3ZrevXsTFxfHwoULqVWrFnv37s0QcKZMmcKOHTt4/PHHefzxx2nZsiVubm4cP36cDRs20LRp0xxPV9yyZUt++OEHpk2bRuXKlbFYLDzxxBPX3H7AgAEsXLiQSZMmcezYMVq1asUff/zB559/TmBgYKYuA8899xy9e/fmnnvuoU+fPly6dIlFixZRpUoVwsPDM2z76KOPsmDBAnr06EGHDh04c+YMS5YsyXJYr1GjRrF69WoGDRrEvn37qF+/Plu3bmXnzp2ULn39X7hXy855r/f9kpXHHnuMHj168NFHH/Hff//x0EMPUaJECf799182btzIX3/9la1aRRzlBGfoThB7ufyp0HN05V2G4kbm97ykpCR++eUXNmzYwPfff8/Bgweve3xPT08aNWpE06ZNady4MQ0aNKBu3bq5OimJiFzFUUMnmOVmhmwoikP+LFu2zKhbt659OJb04aJSUlKMN9980wgMDDTc3NyMypUrG6+88opx8OBBAzCCgoLsx8hq6KV0/fr1M7L6dpo9e7ZRs2ZNw83NzahRo4bxwQcfGO+//74BGYf2MgzbMF6TJk0yGjRoYHh4eBje3t5GnTp1jIEDBxq7du2yb3e94aHatWuXaXisf//917jvvvuM4sWL24cRuZHz588bTz31lFGyZEnDy8vLaNeunbFnz54sj28YhvH2228blStXNtzc3Iw6deoYixcvzrLO2NhY4+WXXzYqV65suLu7GzVq1DCmTp1q/PDDD1l+bY8fP250797dKF68uFG8eHHjf//7n3H48GGjSpUqWQ6/da1hxrJ73mt9v1zreyA1NdWYPXu20bhxY8PT09Pw9vY2GjZsaEyYMOG6X+ei+LMo5ths7DVKGQ/Zh9byNDoaK4xNmbY7ffq08eGHHxpdu3Y1vL29rzscUcOGDY1nn33WWLZsmbF//34jOTnZhFcmUvhkZ/gti2HkkztjcklUVBS+vr5ERkZmuus8XUJCAseOHaNatWqabtMEzz//PLNnzyYsLIyAgACzy8mW9u3bZ5rZS3JOP4viaAYG0/iYV1mMNW2q2eqUZy0TuZ0agK0bzZo1a/j444/Ztm1bll3inJycaNq0Ke3ataNNmzbcddddlCxZMk9fi0hRcTNZLp26FojDJCQkZAonYWFhfPTRRzRo0KDAhVgRKViiiKU/0/iSX+xtD9CClbyKW6wTH3/1MatXr2bjxo0kO7tC5Tpw75NQuS6UrYJr2Yp4V6yOxc8fJzcPDluc+MeAxRbwOQQ+LuDnApXdoZonVPWAul7QyBu88ueQmyKFjoKsOMzWrVt55ZVX6NatGxUrViQkJIRFixYRExNzyzeTiYhcz0FC6Mp4/uUkABYsBNGPxw81Z8Lc11jy5bfE1GgGDTvCnElQ/Ta4aki/ZMA+wnJqxuNfTAESyZITtkB7hw/c4wf3lYCA3B3uXETSKMiKw9SoUYPAwEAWLVrE+fPn8fDwoFmzZowdOzZfDLMlIoXT52xlANOIJQEAP8ObYTvv4fsPfmGC8yG480n4KOvZ8a7maoHSruDpBC4W25JsQGQKRKVCQhaDFliBA3G2ZVna/Z63FYP/lYInykBD71x6oSKC+siqX56IafSzKLkphVTGsJB3+czeVvZ0BeJn1iSq5oNQq0mW+1kwuK2YhSbFbVdS63hBDU/bJDR+LnC9EeTiUiEkwbYciYf/i4F9MfBXLKRc47drPS94sgw8VQ7K60qtSCbqIysiIkXKGS7Qg0ls4/9sDVG1cPq1K2ec74EumcdqreeRwsNlXGjvBy19LPjk8LehlzPUK2ZbrpSQCrujYdMF2HQR9kXbhjoAOBgHr4fAhBDo6g/DykM7v+sHZhHJmoKsiIgUaLs4yKMEEWqcg/N3wonHIep2rFdd5K9tvcTQmj48XNqJqp6O/fXn4WwLp+38YApwJgnWRMAnZ2F7pG2bVGxtayJsN4i9VgW6lgYnBVqRm6YgKyIiBZKBwXy+4gXrbFIuNoZjb0BM7QzbuMdH0rNkEi838KdeMT9zCgXKusGwCrblRAIsCoNFp+GMbYZcgmPg0QNQ38sWaB8vo0ArcjOcbrxJ4VXIugeLFDj6GZSciieRAUzj2ciNpPzfdNj/doYQ63MxlAnep7l4vy9LWvhn+ujfTJU9YHI1ONEKPq4Lza6Y+OtAHDz5NzTfBz9fMq1EkQKjSAZZ57QhVpKTk02uRKRoS5/u18VFHw7JzTtGGI2iX2b5P7fDH3Mh8nb7c37nQvjA9wQXH6lAULPyeObj8VzdnOCJsvBbE/iuIdx5xT0t+2KgXTB0+8t2E5mIZK1IBllXV1fc3d2JjIzUFSERE0VFReHs7Gz/41LkRtan/ErtY1/yb/BUCO9sb/eMOM4brv9xvntVnmtcuUB9LG+xQKdSsL0xbLrNNlRXui/PQYM9MO0EJGcx1JdIUVckh99K3y40NBRvb298fX1xdXXFoltGRfKEYRjExsYSERFBuXLl8PPzM7skyWfi4+OJiorCx8cHT09PrFjpfWIpH0e0hOj69u0s8ZH0TfqPRQ82xbUgpdfrSDVs48++dgzCky6331YMFtWG5tcfjUikwMvO8FtFNsimb3vu3DkSE68xPYuIOIzFYsHX15eAgAD9ESl227dvZ9aMGaxbv55UqxVnJyc6P/QA2x9sxKXA18G4PJRW7ZM7+KZzQ2qULpzJLjoFxofA+6dskyyA7WPUcVVgfBVwLZKfqUpRoCB7ky8+XXJyMqmpqTfeUERyjaurq7oUSAbz5s1j2LBh1HV2ZlBKCoHAEWCeszP/plrhpbnw0BCcE44z2yeaIXc2MLvkPLEnCgYdgv+LvdzWvDisrAs1vcyrS8RRFGSzGWRFRMRc27dvp23btjxvGMwk4w0cVmA48AEWKr05g+AXhlCyWNGaCS7ZausnOyHENv4sgJcTzK0F/QLMrEwk92Uny+mDCRERMd2sGTOo6+ycKcSStj4LqOPsRIt924tciAVbN4LXqsKvTaCmp60tzgr9/4FnDtlmEhMpihRkRUTEVPHx8axbv55BKSnX/KXkBDyTmsqXX35JfHzRHY+quQ/83hSevuIq7MIwaBMMxxNMK0vENAqyIiJiqqioKFKtVgJvsF11INVqJSoqKi/Kyre8XeDDOrC0Nnik/RbfGw1N98Ivl0wtTSTPKciKiIipivsUx+Jk4cgNtjsKODs56f6HNP3Lwc7GUD2tp8X5FOjwf7Ay3Ny6RPKSgqyIiJgmlnhqH/wcWj/CPGcXrjXmvxVY5OJC165d8fT0zMsS87VGxWFvU7ivhG09yYA+/8Drx8BaqG7lFsmagqyIiJji79QT+P/fBk5F98N4bAT/pqbyEmQKs+mjFvydmsrwl17K8zrzuxKu8G1DeKbc5bY3jttuBNNsYFLYKciKiEie+yzpF+ofOEz8xe62hoZ3EfDss3xgsdDQxYVZwFfYRito6OLCbIuFuXPn0rp1a9Nqzs9cnWBeLZgRCOnTi6w4A90OQLxGNJBCTEFWRETyTCqpvJK0mB6HnDEu3JPWmsKDUZsImzObX375hXoPP8zLTk48DLzs5ES9hx/ml19+YciQIWaWnu9ZLPBSJfiiPrilpdlvzkPHP+FSsrm1iTiKJkQQEZE8cYEouie9xdaDj8KlJrZGI4GXE/bwTuc2GbaNj48nKioKHx8f9YnNgZ8uwsN/QXTa1dhG3rD5Nijtdv39RPIDTYggIiL5yu/8S6OkF9n6V8/LITYlhunGgUwhFsDT05OyZcsqxObQ3SVgayPwd7WtB8fAvf8H55JMLUsk1ynIioiIQy3je+5MHsXJv16GqAa2xoRLzHc/zMh7mppbXCHWpDj80hjKp12F/TMW7vk/iFCYlUJEQVZERBwikSSGMpMBqe+R+NckiKpveyL6HB/5nuSZNo1Mra8oqO1luzJbIS3M7leYlUJGQVZERHLdKSJox3Dmp26E/VMg8jbbE9EXWF4ylD6tGppbYBFS86ow+1es7QawyBRTyxLJFQqyIiKSq37iD5owmN3Wf+HAxMt9YmMusaD4Mfq2vt3cAougGleF2T9i4H/7IU5Dc0kBpyArIiK5wsBgOp/SgZeJMCLh0Ci40ML2ZGwU77kfYnB79Yk1Sw0v2Hw7lE67AWx7JHQ/AEmaNEEKMAVZERG5ZdHE8TgTeYX5WLHC0cFw5n7bk0kJBCXt5YX7WphbpFC3GGy8DXycbevfX4C+f2s6Wym4FGRFROSW/MMJWvAsa9hmazj5GJx8wvY4NZWnTv/AhK73XPsAkqeaFIdvGoJHWgL4NALGHDW3JpGcUpAVEZEcW8vPNGcof3McAPewznDkWfvzHf/5isX9/2dWeXINbfxgTf3LIeCdkzAv1MyKRHJGQVZERLIthVTGsJDuBBFNHACVIu4n8eBL9m3q713Dd88+YlKFciNdSsGcmpfXn/sPvjlnXj0iOaEgKyIi2RLBJTryCtP42N7WOborp/c8C862O4nK7F7Hb892wWKxmFWm3IQhFWBUJdtjK9DjIOyLNrUkkWxRkBURkZv2G3/TlGfYwh8AuODMm8nD2fHjo6R6+QLgEbyFP/q1wstL08sWBFOrQw9/2+M4q21YrhMJ5tYkcrMUZEVE5KYs4hva8CInOQtAWUqwyTqDj75vRJRfeQAsIQf58e4ylA8oa2apkg1OFlhWB+6y/R1CeBI88pfGmJWCQUFWRESuK4EkBvIOg3mXJJIBaE0Dfmchc34uyT/Fq9g2jDzHe97HuPP2BiZWKznh4QzrGkCgh239jxgYfAgMDcsl+ZyCrIiIXNNxwrmL51nMBnvb83RlCzNY/Y8rX1DR1piSzBP/rOH5R7uYVKncqlKutjBbLC0ZrDoLM0+ZW5PIjSjIiohIljazl6Y8wz7+BcATd1Ywjvd5gT0XnRgV6mXftu7GD1j58iCzSpVc0sAbPqp7ef2VI/DDBfPqEbmRPAmyc+bMoWrVqnh4eNCiRQt+++23a267bNkyLBZLhsXDwyMvyhQREcCKlTdZSUdGcZ4oAAIpzy7m0Jv7OJcED+yOxkgboaDY9x+ybVQfnJ2dzSxbckk3f3i1su1x+kgGx+JNLUnkmhweZD/99FNGjBhBUFAQv//+O7fffjsdO3bk7Nmz19zHx8eHsLAw+3L8+HFHlykiIkAkMXRjPK+yGANbB8n/0Yo9zOc2Akk1oNP2c0R5+Nl22L+db7rUxd/f37yiJddNrAZdStoeX0iBrn9BvG7+knzI4UF2xowZDBo0iAEDBlCvXj3mz5+Pl5cXS5YsueY+FouFgIAA+1K2rO5+FRFxtAMcoznPsp4dAFiwMJH+rOcNSlAcgDEHYtjnVNq2w4UzjEv+P9q3aW1WyeIgzhZYWRdqpY2g9n+xMPywuTWJZMWhQTYpKYl9+/bRoUOHyyd0cqJDhw7s3LnzmvvFxMRQpUoVKlWqxMMPP8yBAwccWaaISJH3KVtozrP8y0kASlCcb5nKePrhlPar4vvzBtMj0vrFpqbSfNNMJg8falbJ4mB+rrC2AXimJYWFYfDJGXNrErmaQ4PsuXPnSE1NzXRFtWzZsoSHh2e5T+3atVmyZAnr169n5cqVWK1W7rzzTk6dyvrWycTERKKiojIsIiJyc5JJYQRzeILJxGEbBb8RNdjLfDrTwr7dyQR49I8EsNh+bXh/9hZfTxqBk5PuGS7M6heD2VdMYzv4XzgcZ149IlfLd+9ArVq1om/fvjRq1Ih27dqxdu1a/P39WbBgQZbbT506FV9fX/tSqVKlPK5YRKRgOsMFOjCSmayxt/XlfnbwAdUpb29LscLDe2OJdUn7nPnXr/m0a1PKlCmT1yWLCQYEQO+061HRqfD4QUhQf1nJJxwaZEuXLo2zszNnzmT8LOLMmTMEBATc1DFcXV1p3Lgxhw9n3Tln7NixREZG2peTJ0/ect0iIoXdr/xFE57hZ/4EwBUX5jKcZYzBi4wjxUw+lsIfKcVsK+EhDLm0kwc6dcrrksUkFgvMqwm10/6O+SMGXj5ibk0i6RwaZN3c3GjatCk//vijvc1qtfLjjz/SqlWrmzpGamoq+/fvp1y5clk+7+7ujo+PT4ZFRESyZmAwhy9pz0uc5hwA5SnNNmYxlIexYMmw/c5ImHwi7VdFairVV7/GzEnj87psMZm3C3xWHzzSvhXmnIYvIsytSQTyoGvBiBEjWLRoEcuXL+fvv/9m6NChxMbGMmDAAAD69u3L2LFj7dtPmjSJTZs2cfToUX7//Xd69+7N8ePHGThwoKNLFREp1OJIoB9TeY73SSYFgHbczu8soBX1M20flQKP/V8iRlq/WMvKN/gs6CWN7V1E3eYN79W4vD74EJxONK8eEQAXR5+gR48eREREMH78eMLDw2nUqBHff/+9/QawEydOZLhZ4OLFiwwaNIjw8HBKlChB06ZN+fXXX6lXr56jSxURKbSOcppujOf/uPyZ8AgeYxrP4ELWExkMPZRKqNXdtrJ/O2MrWWnatGlelCv51KBy8MNF+DzCNr7sU//Ad7fZuh+ImMFiGIZhdhG5KSoqCl9fXyIjI9XNQEQE2MAuejGFS8QAUAwPljCKx7n7mvusOgO9/05biYmk9vQe/LnpK9zc3PKgYsnPzidDwz0QlmRbn1MTnq1gbk1SuGQny+W7UQtERCR3WLEykeX8j3H2EFuLSuxm7nVD7PEEGPL35dvSLe89y+oZbyrECgClXGFpncvrLx+BQxqSS0yiICsiUghdJJqHeJUJLLNPNfsId/Ebc6lPtWvuZxgw4G8rMendDTZ9xGutAmnSpElelC0FRMeS8FzaVdh4q+3qfbLV3JqkaFKQFREpZP6PwzRjCN+yCwAnnJjKINYyCV+8r7vvgtPwU2Tar4YzJ6j/4wJee+01R5csBdC06peH5NobDW8cN7ceKZoUZEVECpGVbKYVz3GU0wCUwoeNvM0YemYaWutqx+JhxH+XuxQ4zXyGFfNnq0uBZMnLGVbWBZe0b6s3jsMeTa4peUxBVkSkEEgimed5nz68STy2MZGaUZt9LKADNx5pwGrA0/8YxKd3Kfh6Aa91bE7jxo0dWbYUcM18YHwV22Mr8PQhSFIXA8lDCrIiIgXcac5xNy8xmy/tbQPpwi+8TxVubhbF+afhp8i0S2vhx6m5ZRGvvvqqI8qVQmZMZWiU1mNlfyxMPWFuPVK0KMiKiBRgP/N/NGEwv3IAADdcWcTLLOJlPLi5LgFH4+Hlw1eMxPjO0yycOV1dCuSmuDrBktrYRyOechz+ijG1JClCFGRFRAogA4NZrOEeRnCGiwBUogzbeZ+BdLn54xgw8BDEG2lXY9fPo0/98rRv394BVUth1bg4jK5se5xswFOHIEVdDCQPKMiKiBQwMcTTkzd4iTmkYksL99KEfSzgDurcYO+MlofDT5fSVsJD8P3kTaZPn567BUuR8HoVqONle7wnGmadMrceKRoUZEVECpD/OEVLnuUTttjbxtCTjbyNP37ZOlZEEow8ckWXghlDeHvi65QpUyaXqpWixMPZ1sUgfWyM10PgP02UIA6mICsiUkB8xQ6aMYQDhABQHC/WMompDMLZ3kPx5o04AhdS0mLHjx/T0jmSgQMH5mLFUtS08oUX0iZKSLDCoEO27isijqIgKyKSz6WSymss5mFeI4pYAOpRhT3MoyttcnTMzRdg5Zm0leiLOM0byfz583Fy0q8FuTVTqkM1D9vjbZGwLNzceqRw0zuWiEg+dp5IHmAMU1hpb3uMduxmHrWpnKNjxqfC0H+vuEw2/xVe7PsEt99++62WK0IxZ5hX6/L6y0ds3VhEHMHF7AJERCRr+zhEd4I4ju3SqTNOTOMZRvDYDWfpup7Jx+FIQtr+//cz5f/cyMRPDuZGySIAdCwJT5aBj8+CnwuEJoK/RnMTB1CQFRHJh5awgWeZRSLJAPjjx2cE0Z5Gt3Tcv2LgnZMGYIHkJJjxDDPffZfixYvfetEiV5hZA2p42iZM8Mp+F26Rm6IgKyKSjySSxAt8wEK+sbe1pB6fM4GK+N/SsQ0DnvsPUtLHjF09lbZVy/DYY4/d0nFFslLWDSZVM7sKKewUZEVE8omTnOVRgviNf+xtQ3mImQzD/SZn6bqeT8/abr4BIPQwrH6L93bvxGLJeTcFEREzKciKiOQDW/idHkziHLak6YEb83mJfnTKlePHpMDII1c0zH6Rwf370qhRo1w5voiIGRRkRURMZGDwDp8wlg+xps3SVZUA1jKJxtTMtfO8cRxOp985/uvX+P69gze++i/Xji8iYgYFWRERk0QTxwCm8QU/29s60ZxVvEpJfHLtPIfiYMaptBu8khJhznDGjx+Pv/+t9bkVETGbgqyIiAn+5jjdGM8/nLC3vU4fguiXo1m6rsUw4MX/IDn9Bq9P3qaWtwvPPfdcrp1DRMQsCrIiInnsC7bRn2nEEA+AL8VYwTge5M5cP9dX52HjxbSV8OOweioz167BzU2DeopIwacgKyKSR1JIZRyLeIdP7W0Nqc5aJlGDCrl+voRUGH74ioZ5I+h8T3seeOCBXD+XiIgZFGRFRPLAWS7yBJP5iT/sbT25l4WMpBieDjnn+6EQkpC2su8HnH/9ihn79zvkXCIiZlCQFRFxsN0c5FEmcIoIAFxwZgbP8hxdb2mq2euJSIIpx9NWUlNhzks8O3QoderUccj5RETMoCArIuIgBgYL+ZoXmE1S2lSzAZTkcyZwFw0deu4JIRCVmrby3WKKnzvO66+/7tBziojkNQVZEREHiCeRYcxiKd/b2+6iIZ8RRDlKOfTcB2Nhwem0lbhoWDKeUaNGabgtESl0FGRFRHJZCOF0Zzy/c3nCgRfpzjsMwTUP3nZfOQLpF2NZ/RblPJx46aWXHH5eEZG8piArIpKLNvIbPZnCBaIA8MKDRYykJx3y5PybL8CGC2krZ07A5zOY8MF7FCtWLE/OLyKSlxRkRURygRUrU1nN6yzBwAAgkPJ8yWQaUj1Pakg1YOSRKxo+HEftalV46qmn8uT8IiJ5TUFWROQWRRJDX6byFb/a2/5HK1YwDj+886yOZeGwPzZt5Z898ONqpn7xBS4ueqsXkcJJ724iIrfgL47Rldc5TCgAFixMYgDj6IUTTnlWR3wqBB27omHuCO5s1YpHHnkkz2oQEclrCrIiIjn0CVt4mneIwzbrQAmKs5rX6ETzPK9ldiiEJqWt7PgK9m/n7e3bsVgcM06tiEh+oCArIpJNyaQwigXMYo29rTE1+YKJVKNcntdzKRmmnkhbsVrhw3E8/PDDtG7dOs9rERHJSwqyIiLZEM4FHmciv/Cnva0/nZjLcDxxN6Wmd07CxZS0lc0rcDrxN1M3fG5KLSIieUlBVkTkJu1gP48xkTDOA+CKC+/zPM/woMOmmr2RsESYeSptJSkRlgbx9NNPU7duXVPqERHJSwqyIiI3YGAwmy8ZwVxS0qYaqEBp1jCRltQztbbJxyHemrby1Tw8o84yYcIEM0sSEckzCrIiItcRRwLPMIOVbLa3tacRnzKeMpQwsTI4HAeLwtJW4qJh1Zu89NJLlC9f3tS6RETyioKsiMg1HCGUboznT47a216mB1MZhAvOJlZm83oIpBhpK59Op5SzlVGjRplZkohInlKQFRHJwrfspDdvcokYAIrhwVJG8xjtzS0szf/FwCdn01YunoXPZ/D61Dfw9fU1tS4RkbykICsicgUrVibxERNZbm+rTSXWMol6VDWvsKtMCLliZdWbVAvwZ8iQIWaVIyJiCgVZEZE0F4iiN2/yHbvtbV1pwzJG40MxEyvL6PdoWHcubSUiFL5ewJRlS3B3N2f4LxERsyjIiogAwRymG+M5hu3uKSeceJOBjOIJ04bWupYMV2NXv0nThvXp0aOHWeWIiJgmTyYCnzNnDlWrVsXDw4MWLVrw22+/XXf7zz//nDp16uDh4UHDhg3ZsGFDXpQpIkXUR2ykFcPsIbY0vmzibUbzZL4LsXui4OvzaStnT8K3HzJt2jScnPLk7VxEJF9x+Dvfp59+yogRIwgKCuL333/n9ttvp2PHjpw9ezbL7X/99VeefPJJnn76af744w8eeeQRHnnkEf766y9HlyoiRUwSyQxjFv14iwSSALiDOuxjAffS1OTqshYUcsXKyincf3d77r33XpOqERExl8UwDOPGm+VcixYtuOOOO5g9ezYAVquVSpUq8fzzzzNmzJhM2/fo0YPY2Fi++eYbe1vLli1p1KgR8+fPv+H5oqKi8PX1JTIyEh8fn9x7ISJSqIQSwWNMZCcH7G2D6ML7vIAHbiZWdm07I+HOP9JWwo9D31r88dtuGjVqZGZZIiK5KjtZzqFXZJOSkti3bx8dOnS4fEInJzp06MDOnTuz3Gfnzp0Ztgfo2LHjNbdPTEwkKioqwyIicj3bCKYJz9hDrDuufMjLLOTlfBti4aqrsSsm07vH4wqxIlKkOTTInjt3jtTUVMqWLZuhvWzZsoSHh2e5T3h4eLa2nzp1Kr6+vvalUqVKuVO8iBQ6BgYz+Ix7GclZLgJQmbJs5wOepovJ1V3f9kuw+WLayumjuP70MZMnTzazJBER0xX4uwPGjh1LZGSkfTl58qTZJYlIPhRDPE8ymZHMIxUrAB1oyj4W0IzaJld3YxOPX7Hy0SSeHzqEqlWrmlWOiEi+4NDht0qXLo2zszNnzpzJ0H7mzBkCAgKy3CcgICBb27u7u2vsRBG5rn85STfGc4AQe9tYejKZp3DOB1PN3siuSPgh/Wps6GF8fvuacav+NbUmEZH8wKFXZN3c3GjatCk//vijvc1qtfLjjz/SqlWrLPdp1apVhu0BNm/efM3tRUSuZx3bacYQe4gtjhdfMpk3GVQgQizAlBNXrKyeyrjRoyhVqpRp9YiI5BcOnxBhxIgR9OvXj2bNmtG8eXNmzZpFbGwsAwYMAKBv375UqFCBqVOnAvDiiy/Srl073n33Xbp06cInn3zC3r17WbhwoaNLFZFCJJVUXmcJU1ltb6tHFb5kMrUoOH3pg6Phm/RxY8+coPxfW3hhzWxTaxIRyS8cHmR79OhBREQE48ePJzw8nEaNGvH999/bb+g6ceJEhoG877zzTlavXs1rr73GuHHjqFmzJuvWraNBgwaOLlVEColzRNKTN9jMXnvb47RnMaPwxtPEyrLvzRMGpE/K8MnbTA56HU/PgvUaREQcxeHjyOY1jSMrUrTt5RDdCeIEtr72zjjxDkMYzqP5bpauG/k7Fur/ZmBYLHAhnLqTu7B/7284OxeMLhEiIjmRnSzn8CuyIiJ5ZTHfMoz3SCQZgDKU4DPG045G5haWQ1NCrBiWtE+sPp3O25MnKsSKiFyhwA+/JSICcIkYxrHYHmJbUZ/fWVBgQ+yRePg4fSbvyPO0vvAXXbrk77FuRUTymoKsiBQKfnjzKeNxxolhPMJWZlIBf7PLyrE3jiRjTb8a+8Us3n1jIhZLweoaISLiaOpaICKFRnsasZ8l1KWK2aXcklMJ8NFZJ9ulhphIHko9QYsWLcwuS0Qk39EVWREpVAp6iAV4499YrE62vrCWr+cxfcJrJlckIpI/KciKiOQjF5NhyZm0G7oS4+lX7CI1a9Y0tygRkXxKQVZEJB+Z/GcEya4eALj8sJK3Ro8wuSIRkfxLQVZEJJ9ISIW54Wm3LqSmMrR0vH3yGBERyUxBVkQkn3h9+38kFisBgMeeb5n63NMmVyQikr8pyIqI5AMpVoMPzrrb11+uaFCsWDETKxIRyf8UZEVE8oHRX+0g0b8yAMUO7WLCk/8zuSIRkfxPQVZExGQJCYnMPu9tXx9bzUVT0YqI3AQFWRERk438aD1JgY0A8D5zhLEdmppbkIhIAaEgKyJiogsXLrAwys++Pq6aM05OmopWRORmKMiKiJho5HuLSGl2PwDFYs7xcrOq5hYkIlKAKMiKiJjk6NGjfBTjZ18fUcUFV70ri4jcNL1lioiY5KXxk7He1wcAt5RERtb1M7cgEZECRkFWRMQEW7du5StrWfDwAuCpcuDrYnJRIiIFjIKsiEgeS01N5cURL0PX5wCwGAYvV3e/wV4iInI1BVkRkTy2ePFi/ixRE/wrAvBgaQj0NLkoEZECSEFWRCQPXbp0iXGvvgqPvmRvG1FJw22JiOSEgqyISB6aNGkS5wNqQd3mADTyhra+JhclIlJAKciKiOSRf/75hw8++AC6D7e3vVQRLLogKyKSIwqyIiJ5ZMSIEaSUqgBtugEQ4AY9yphclIhIAaYgKyKSBzZs2MB3331nG6nA2RmAZ8uDu96FRURyTG+hIiIOlpSUxEsvvQSe3tBlEADuFhhS3uTCREQKOAVZEREHmzFjBv/++y906g/etju7epcFfzdz6xIRKegUZEVEHCgkJIRJkybZ7uhKmwABYHhFE4sSESkkFGRFRBzEMAyef/554uPjocm9UKk2AO39oIG3ubWJiBQGCrIiIg6yfv16vvnmGwDcnxhpbx+mvrEiIrlCQVZExAFiYmJ4/vnnbStlKpHU9H4AyrvBw6VNLExEpBBRkBURcYCJEydy6tQpAKq9+DaGxfZ2+0x5cNU7r4hIrtDbqYhILvvzzz+ZOXMmAG7exYm86zEAXCwwqJyZlYmIFC4KsiIiuchqtTJ06FBSU1MBePCdj7hgtU2A0L00lHM3szoRkcJFQVZEJBctWbKEX3/9FYBatWpxqtlD9ueGVTCrKhGRwklBVkQkl4SHhzNq1Cj7+kvzVrA7xvY227AY3OVrVmUiIoWTgqyISC4wDIMhQ4Zw8eJFAHr16sXe8s3tzw+rYJsTQUREco+L2QWIiBQGq1evZv369QCUKVOGCe++x22HbM/5OEOvMiYWJyJSSOmKrIjILQoLC7s8Ziwwf/58vkoqRbzVtt4/ALx12UBEJNfprVVE5BZc3aXgySef5OFHulJr9+VtntVNXiIiDqErsiIit2D16tV89dVXgK1Lwfvvv8/mi3AkwfZ8hxJQ28vEAkVECjEFWRGRHMqqS0Hp0qVZePryNs+WN6EwEZEiwqFB9sKFC/Tq1QsfHx/8/Px4+umniYmJue4+7du3x2KxZFiGDBniyDJFRLItqy4FXbt2JSwRvjpv26acG/yvlIlFiogUcg7tI9urVy/CwsLYvHkzycnJDBgwgMGDB7N69err7jdo0CAmTZpkX/fy0udyIpK/rFq1KkOXgg8++ACAZeGQYti2eSoAXPW5l4iIwzgsyP799998//337Nmzh2bNmgHwwQcf8MADDzB9+nTKl7/2521eXl4EBAQ4qjQRkVsSEhLCsGHD7Ovz58+nVKlSWA1YFHZ5u6fLmVCciEgR4rBrBTt37sTPz88eYgE6dOiAk5MTu3fvvs6etisdpUuXpkGDBowdO5a4uLhrbpuYmEhUVFSGRUTEUVJSUujdu7f9vaZXr1507doVgB8vwrG0m7zuLwHVPM2qUkSkaHDYFdnw8HDKlMk4AriLiwslS5YkPDz8mvv17NmTKlWqUL58ef78809Gjx7NoUOHWLt2bZbbT506lYkTJ+Zq7SIi1zJlyhR27NgBQLVq1ZgzZ479uYVXXI0drJu8REQcLttBdsyYMUybNu262/z99985Lmjw4MH2xw0bNqRcuXLce++9HDlyhMDAwEzbjx07lhEjRtjXo6KiqFSpUo7PLyJyLTt27LD333d2dmbVqlX4+voCcCYJ1p2zbVfWFR7STV4iIg6X7SA7cuRI+vfvf91tqlevTkBAAGfPns3QnpKSwoULF7LV/7VFixYAHD58OMsg6+7ujru7+00fT0QkJ86dO8cTTzyB1WqbrisoKIhWrVrZn19+xU1eA8rpJi8RkbyQ7SDr7++Pv7//Dbdr1aoVly5dYt++fTRt2hSALVu2YLVa7eH0ZgQHBwNQrpzumhARc1itVvr27cupU6cAaNu2LePGjbv8/FU3eQ3U25WISJ5w2DWDunXr0qlTJwYNGsRvv/3Gjh07eO6553jiiSfsIxaEhoZSp04dfvvtNwCOHDnC5MmT2bdvHyEhIXz11Vf07duXtm3bcttttzmqVBGR63r77bf57rvvANsf8x9//DHOzs7257degsPxtsf3+kGgbvISEckTDv3wa9WqVdSpU4d7772XBx54gLvuuouFCxfan09OTubQoUP2UQnc3Nz44YcfuP/++6lTpw4jR46ke/fufP31144sU0TkmrZt28arr74KgMViYfXq1ZmGD7xyJi/d5CUikncshmEYZheRm6KiovD19SUyMhIfHx+zyxGRAuzkyZM0bdqUiIgIAMaPH59plJSIJKiwE5IN8HeFU63ATf1jRURyLDtZTm+3IiJZiI+Pp1u3bvYQe//99zN+/PhM2y0Pt4VYgP4BCrEiInlJb7kiIlcxDIOhQ4eyd+9ewDZe7NX9Ym3b6SYvEREzKciKiFxl5syZLF++HLBNmb1u3TpKliyZabsdkfBv2k1e7f2gllceFikiIgqyIiJX+uqrr3j55Zft60uWLLnmqClLrpik8OmbHx5bRERyiYKsiEia4OBgevbsSfo9sOPHj6dHjx5ZbhuTAp+lzfni4wzdbjy8toiI5DIFWRER4NSpUzz44IPExsYC0KNHDyZMmHDN7ddEQKxtki96lAEv52tuKiIiDqIgKyJF3sWLF+nUqZN95q6WLVuydOlSLBbLNfdZekW3gqfUrUBExBQKsiJSpMXHx/PQQw9x4MABAAIDA1m3bh2enteenutwHPwcaXtcxwtaaMhqERFTKMiKSJGVnJzMk08+yfbt2wEoU6YMGzdupGzZstfdb9kVV2MHBMB1LtyKiIgDKciKSJGUmppK3759Wb9+PQDe3t589913BAYGXn8/A5afsT12BvpcP/OKiIgDKciKSJFjtVoZOHAgn3zyCQDu7u58+eWXNGnS5Ib7/ngRTiXaHncuBeXcHVmpiIhcj4KsiBQpVquVZ599lmXLlgHg4uLCmjVr6NChw03tv+SKmbwG6CYvERFTuZhdgIhIXklNTWXw4MEsWbIEACcnJz755BP+97//3dT+F5Nh3Tnb49Ku8L9SjqpURERuhoKsiBQJKSkpDBgwgJUrVwK2ELtixQq6d+9+08f4+Cwk2uZKoFcZcNNnWiIiplKQFZFCLyEhgV69erF27VrA1p1g9erVPPbYY9k6ToZuBeVys0IREckJBVkRKdQuXbrEI488wrZt2wBwc3Pj888/56GHHsrWcfbHwL4Y2+Mm3nC7d25XKiIi2aUgKyKF1unTp+nUqRP79+8HoFixYqxdu5b7778/28daetXYsSIiYj4FWREplH7//XcefPBBTp8+DUDp0qXZsGEDd9xxR7aPlWKFVWljx7pZoKfGjhURyRd0q4KIFDpr167lrrvusofYqlWrsmPHjhyFWIBNF+Fssu3xg6WgpGtuVSoiIrdCQVZECo3U1FSCgoLo3r078fHxALRu3Zrdu3dTq1atHB93xZnLj/uoW4GISL6hrgUiUiicP3+eXr16sXHjRntbnz59WLRoEe7uOZ9+Kyrl8tixpVygc8lbrVRERHKLrsiKSIG3c+dOmjZtag+xTk5OTJs2jeXLl99SiAX4IgISrLbHPTR2rIhIvqK3ZBEpsFJTU5k8eTJt2rTh+PHjAPj7+7N582ZGjRqFxWK55XNk6Fagm7xERPIVdS0QkQLpyJEjDBgwgF9++cXeduedd/Lpp59SsWLFXDnHyQTYesn2uKYntPDJlcOKiEgu0RVZESlQrFYr77//Prfddps9xDo5OREUFMS2bdtyLcQCrD4LaTPS0rss5MIFXhERyUW6IisiBcZff/3F0KFD2b59u72tatWqrFixgrvuuitXz2UYsOKKSRB6qVuBiEi+oyuyIpLvxcbGMnr0aBo3bpwhxA4bNoz9+/fneogFCI6BA3G2x3f6QKBnrp9CRERuka7Iiki+ZbVaWblyJePGjSM0NNTeXqNGDRYuXMjdd9/tsHPrJi8RkfxPV2RFJN8xDIPNmzdzxx130K9fP3uIdXNzIygoiP379zs0xKZYYfUVU9I+XsZhpxIRkVugK7Iikm+kB9gJEyawc+fODM89+OCDvPvuu9SsWdPhdfxwEc6kTUnbRVPSiojkWwqyImI6wzDYuHEjEydOZNeuXRmeu+2225gxYwb33ntvntWjbgUiIgWDgqyImCYpKYm1a9cyc+ZMfvvttwzP1atXj/Hjx/Poo4/i7OycZzVFp8CXaVPSlnCBB0rl2alFRCSbFGRFJM+dOnWKBQsWsGjRIs6cOZPhuQYNGjB+/Hi6d++Ok1Ped+Nfew7ir5iS1l13EoiI5FsKsiKSJ1JTU9myZQvz589n/fr1pKamZnj+tttuY/z48XTt2tWUAJtutboViIgUGAqyIuIwhmGwa9cuPv74Yz777LNMV1+dnZ3p1q0bw4YNo23btlhMnjrrbBL8eNH2uKoHtNKUtCIi+ZqCrIjkKqvVyh9//MEXX3zBJ598wrFjxzJtU65cOQYPHszgwYMpX768CVVm7fMISL9O/EQZTUkrIpLfKciKyC2LjIxk8+bNbNiwge+++47w8PBM27i7u9OlSxd69uzJQw89hKtr/hvT6uMrLhg/qbFjRUTyPQVZEcm2uLg4du/ezc8//8xPP/3Ejh07SElJybSdk5MTHTp04Mknn6Rr1674+vqaUO3NOZEAO6Jsj+t5QcNi5tYjIiI3piArIjcUHh7O3r172b59O7/88gt79uwhOTk5y229vLy49957eeCBB+jatStlyxaMO6Y+OXv5cc+y6lYgIlIQKMiKiJ1hGISGhhIcHMy+ffvsy+nTp6+7X2BgIF26dOGBBx6gXbt2eHh45FHFuefK0QqeULcCEZECQUFWpAhKSkri+PHjHD58mIMHD3LgwAEOHjzIwYMHiY6OvuH+tWrVom3btrRp04Y2bdpQtWpV00ccuBV/x8L/xdoeNy8OgZ7m1iMiIjdHQVakEIqLiyM0NJTQ0FBOnTrFqVOnOHbsGEeOHOHIkSOcOHECq9V6U8fy9fWlSZMmNG3alObNm9OmTRsCAgIc/Ary1sdXdCvQTV4iIgWHw4LslClT+PbbbwkODsbNzY1Lly7dcB/DMAgKCmLRokVcunSJ1q1bM2/ePGrWrOmoMkUKjLi4OCIiIjh37hznzp3L8Dg8PNweWkNDQ7l48WKOzlG1alXq1atH/fr1adq0KU2bNqV69eqmTlDgaIZxOchagMcVZEVECgyHBdmkpCQee+wxWrVqxeLFi29qn7fffpv333+f5cuXU61aNV5//XU6duzIwYMHC2SfOynaDMMgKSmJuLg44uPj7UtcXByxsbFERkYSFRVFZGRkhsdX/xsZGcm5c+eIj4/Plbr8/PwIDAwkMDCQ6tWrU69ePerVq0edOnUoVqzo3aq/LxoOp31p2/tBeXdTyxERkWxwWJCdOHEiAMuWLbup7Q3DYNasWbz22ms8/PDDAHz00UeULVuWdevW8cQTTziq1CLNMIws/73ec7ey7dX7pKamYrVa7Ut217O7T3JycqYlKSkpy/abeS4hISFDQL368ZWvNy+4ublRoUIFKlasmOHfChUqULVqVQIDAylZsmSe1pTfXdmtoKeuxoqIFCj5po/ssWPHCA8Pp0OHDvY2X19fWrRowc6dO68ZZBMTE0lMTLSvR0VFObzWK73++uvMnz8/zwNhdrbNah8pGDw9PfHx8aF06dL2xd/fP9O//v7+VKxYkVKlShXom67yWqpxedgtVwt09ze3HhERyZ58E2TTZwK6eszJsmXLZjlLULqpU6far/6aISYmhnPnzpl2fskf3Nzc8PT0xMvLK8O/13pcrFgxfH198fHxwcfHx/74yn+LFy+Om5ub2S+tUPvlEpxOsj3uVBJK5L/JxkRE5DqyFWTHjBnDtGnTrrvN33//TZ06dW6pqOwYO3YsI0aMsK9HRUVRqVKlPDt/6dKlCQwMBLBfCbvyitjVbdom4zbOzs44Ozvj5OSEk5NThsc3Ws/OtumLq6trloubm1uOnvPw8MDT0xNnZ2ek4NFoBSIiBVu2guzIkSPp37//dbepXr16jgpJH87nzJkzlCtXzt5+5swZGjVqdM393N3dcXc37+6MV199lVdffdW084tIziRZYU2E7bGXEzxU2tx6REQk+7IVZNP74jlCtWrVCAgI4Mcff7QH16ioKHbv3s3QoUMdck4RKbp+vAgXUmyPHyoNxXRRXUSkwHHY4JAnTpwgODiYEydOkJqaSnBwMMHBwcTExNi3qVOnDl9++SVg+7h5+PDhvPHGG3z11Vfs37+fvn37Ur58eR555BFHlSkiRdRnEZcf99BNXiIiBZLDbvYaP348y5cvt683btwYgJ9++on27dsDcOjQISIjI+3bjBo1itjYWAYPHsylS5e46667+P777zWGrIjkqiQrrEu7R7O4s+1GLxERKXgsRiEbjykqKgpfX18iIyPx8fExuxwRyYc2nIcu+22Pe5WBlfXMrUdERC7LTpYrvPNOiohcw2dXjFagKWlFRAouBVkRKVKu7lZwfwlz6xERkZxTkBWRImXzRYhMtT1+uDR4aLQCEZECS0FWRIqUz6/oVvCYRisQESnQFGRFpMhIvKJbgY+6FYiIFHgKsiJSZPxwRbeCh9StQESkwFOQFZEiI8NoBepWICJS4CnIikiRkGiF9Vd2K9AkCCIiBZ6CrIgUCZsvZBytwF3vfiIiBZ7eykWkSPg84vJjjVYgIlI4KMiKSKGXabQCdSsQESkUFGRFpNDbfAGi1K1ARKTQ0du5iBR6n13RrUCjFYiIFB4KsiJSqF09WsF96lYgIlJoKMiKSKG25eLlbgUPqVuBiEihord0ESnU1p67/Lh7afPqEBGR3KcgKyKFVqpxebQCLyeNViAiUtgoyIpIofXLJTiXbHvcuSR4OZtajoiI5DIFWREptDJ0K9BoBSIihY6CrIgUSlYD1qYNu+VmgS6lzK1HRERyn4KsiBRKe6MhNMn2uEMJ8HExtx4REcl9CrIiUiitvWIShG7qViAiUigpyIpIoWMY8EVa/1gn4CF1KxARKZQUZEWk0PkrFg7H2x638wN/N1PLERERB1GQFZFC58rRCrppEgQRkUJLQVZECp0r+8c+oiArIlJoKciKSKFyOA7+jLU9blEcKnqYW4+IiDiOgqyIFCqaBEFEpOhQkBWRQuXKbgVd1a1ARKRQU5AVkULjVALsjrY9vq0Y1PAytx4REXEsBVkRKTS+vHK0AnUrEBEp9BRkRaTQyNA/Vt0KREQKPQVZESkUDANqe0JpV6jpCfWLmV2RiIg4movZBYiI5AaLBebXhtk14WSibV1ERAo3XZEVkULFxQmqeZpdhYiI5AUFWREREREpkBRkRURERKRAUpAVERERkQJJQVZERERECiQFWREREREpkBRkRURERKRAUpAVERERkQLJYUF2ypQp3HnnnXh5eeHn53dT+/Tv3x+LxZJh6dSpk6NKFBEREZECzGEzeyUlJfHYY4/RqlUrFi9efNP7derUiaVLl9rX3d3dHVGeiIiIiBRwDguyEydOBGDZsmXZ2s/d3Z2AgAAHVCQiIiIihUm+6yO7detWypQpQ+3atRk6dCjnz583uyQRERERyYccdkU2Jzp16kS3bt2oVq0aR44cYdy4cXTu3JmdO3fi7Oyc5T6JiYkkJiba1yMjIwGIiorKk5pFREREJPekZzjDMG68sZENo0ePNoDrLn///XeGfZYuXWr4+vpm5zR2R44cMQDjhx9+uOY2QUFBN6xJixYtWrRo0aJFS8FaTp48ecOsaDGMm4m7NhERETf8qL969eq4ubnZ15ctW8bw4cO5dOnSzZ4mA39/f9544w2eeeaZLJ+/+oqs1WrlwoULlCpVCovFkqNzSmZRUVFUqlSJkydP4uPjY3Y5kkP6fywc9P9YOOj/sXDQ/2PuMwyD6Ohoypcvj5PT9XvBZqtrgb+/P/7+/rdUXHacOnWK8+fPU65cuWtu4+7unmlkg5sd7kuyz8fHRz+ohYD+HwsH/T8WDvp/LBz0/5i7fH19b2o7h93sdeLECYKDgzlx4gSpqakEBwcTHBxMTEyMfZs6derw5ZdfAhATE8Mrr7zCrl27CAkJ4ccff+Thhx+mRo0adOzY0VFlioiIiEgB5bCbvcaPH8/y5cvt640bNwbgp59+on379gAcOnTIfnOWs7Mzf/75J8uXL+fSpUuUL1+e+++/n8mTJ2ssWRERERHJxGFBdtmyZTccQ/bK7rmenp5s3LjRUeXILXJ3dycoKEh/VBRw+n8sHPT/WDjo/7Fw0P+jubJ1s5eIiIiISH6R7yZEEBERERG5GQqyIiIiIlIgKciKiIiISIGkICsiIiIiBZKCrORYYmIijRo1wmKxEBwcbHY5kg0hISE8/fTTVKtWDU9PTwIDAwkKCiIpKcns0uQG5syZQ9WqVfHw8KBFixb89ttvZpck2TB16lTuuOMOihcvTpkyZXjkkUc4dOiQ2WXJLXrrrbewWCwMHz7c7FKKHAVZybFRo0ZRvnx5s8uQHPjnn3+wWq0sWLCAAwcOMHPmTObPn8+4cePMLk2u49NPP2XEiBEEBQXx+++/c/vtt9OxY0fOnj1rdmlyk7Zt28awYcPYtWsXmzdvJjk5mfvvv5/Y2FizS5Mc2rNnDwsWLOC2224zu5QiScNvSY589913jBgxgi+++IL69evzxx9/0KhRI7PLklvwzjvvMG/ePI4ePWp2KXINLVq04I477mD27NkAWK1WKlWqxPPPP8+YMWNMrk5yIiIigjJlyrBt2zbatm1rdjmSTTExMTRp0oS5c+fyxhtv0KhRI2bNmmV2WUWKrshKtp05c4ZBgwaxYsUKvLy8zC5HcklkZCQlS5Y0uwy5hqSkJPbt20eHDh3sbU5OTnTo0IGdO3eaWJncivTZLfWzVzANGzaMLl26ZPi5lLzlsJm9pHAyDIP+/fszZMgQmjVrRkhIiNklSS44fPgwH3zwAdOnTze7FLmGc+fOkZqaStmyZTO0ly1bln/++cekquRWWK1Whg8fTuvWrWnQoIHZ5Ug2ffLJJ/z+++/s2bPH7FKKNF2RFQDGjBmDxWK57vLPP//wwQcfEB0dzdixY80uWbJws/+PVwoNDaVTp0489thjDBo0yKTKRYqeYcOG8ddff/HJJ5+YXYpk08mTJ3nxxRdZtWoVHh4eZpdTpKmPrAC2flrnz5+/7jbVq1fn8ccf5+uvv8ZisdjbU1NTcXZ2plevXixfvtzRpcp13Oz/o5ubGwCnT5+mffv2tGzZkmXLluHkpL9t86ukpCS8vLxYs2YNjzzyiL29X79+XLp0ifXr15tXnGTbc889x/r16/n555+pVq2a2eVINq1bt46uXbvi7Oxsb0tNTcViseDk5ERiYmKG58RxFGQlW06cOEFUVJR9/fTp03Ts2JE1a9bQokULKlasaGJ1kh2hoaHcfffdNG3alJUrV+pNtwBo0aIFzZs354MPPgBsH01XrlyZ5557Tjd7FRCGYfD888/z5ZdfsnXrVmrWrGl2SZID0dHRHD9+PEPbgAEDqFOnDqNHj1ZXkTykPrKSLZUrV86w7u3tDUBgYKBCbAESGhpK+/btqVKlCtOnTyciIsL+XEBAgImVyfWMGDGCfv360axZM5o3b86sWbOIjY1lwIABZpcmN2nYsGGsXr2a9evXU7x4ccLDwwHw9fXF09PT5OrkZhUvXjxTWC1WrBilSpVSiM1jCrIiRdDmzZs5fPgwhw8fzvQHiD6kyb969OhBREQE48ePJzw8nEaNGvH9999nugFM8q958+YB0L59+wztS5cupX///nlfkEgBp64FIiIiIlIg6c4OERERESmQFGRFREREpEBSkBURERGRAklBVkREREQKJAVZERERESmQFGRFREREpEBSkBURERGRAklBVkREREQKJAVZERERESmQFGRFREREpEBSkBURERGRAklBVkREREQKpP8HqarZmgp6RGwAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 700x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘图\n",
    "w = np.linspace(-5,5,200)\n",
    "w_0 = 1.0    # 在w0进行泰勒展开\n",
    "w_ = np.linspace(-2+w_0, 2+w_0, 200)  #泰勒展开的范围在w0处 绝对值2附近\n",
    "\n",
    "gvals = [g(v) for v in w]           # 原函数值\n",
    "tangent = first_order(w_0, w_)      # 一阶值【切线】\n",
    "quadratic = second_order(w_0, w_)   # 二阶值【正切二次函数】\n",
    "\n",
    "# plot the function and derivative \n",
    "# zorder: 堆叠层次，值越大，需要在上层展示\n",
    "fig = plt.figure(figsize = (7,4))\n",
    "plt.plot(w,gvals,c = 'k',linewidth=2,zorder = 1)\n",
    "plt.plot(w_,tangent,\n",
    "         c = [0,1,0.25],   #RGB调色\n",
    "         linewidth=2,zorder = 2)\n",
    "plt.plot(w_,quadratic,\n",
    "         c = [0,0.75,1],linewidth=2,zorder = 2)\n",
    "plt.scatter(w_0,g(w_0),\n",
    "            c = 'r',  #红色\n",
    "            edgecolor='k', #边缘颜色：黑色\n",
    "            s=50,zorder = 3,linewidth=1)    #绘制出展开点的位置\n",
    "plt.legend(['$g(w)$','tangent line','tangent quadratic'],fontsize = 13)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.2 多输入函数：导数计算和泰勒逼近"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 1.计算单个偏导数\n",
    "\n",
    "函数：\n",
    "g(w1, w2) = tanh(w1, w2)   \n",
    "\n",
    "有2个输入"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# # 定义函数\n",
    "# def g2(w_1,w_2):\n",
    "#     return np.tanh(w_1*w_2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义函数2\n",
    "g2 = lambda w_1,w_2: np.tanh(w_1*w_2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# # 定义函数3\n",
    "# def g2(w: list):\n",
    "#     return np.tanh(w[0] * w[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_12054/222423703.py:17: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n",
      "  ax1 = fig.gca(projection='3d')\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# import three-dimensional plotting library into namespace\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "### evaluate our function over a fine range of points on a square\n",
    "# produce grid of values\n",
    "s = np.linspace(-5,5,500)\n",
    "w1,w2 = np.meshgrid(s,s)\n",
    "\n",
    "# reshape grid and evaluate all points using our function\n",
    "w_1 = np.reshape(w1, (1,np.size(w1)))        # 输入：w1  将输入拉伸为一列\n",
    "w_2 = np.reshape(w2, (1,np.size(w2)))        # 输入：w2  将输入拉伸为一列\n",
    "g_vals = g2(w_1,w_2)                # 函数值 g2\n",
    "#g_vals = g2([w_1,w_2])  \n",
    "\n",
    "# generate figure and panel\n",
    "fig = plt.figure(figsize = (4,4))\n",
    "ax1 = fig.gca(projection='3d')\n",
    "\n",
    "# re-shape inputs and output for plotting\n",
    "# matplotlib's surface plotter requires all\n",
    "# three input arguments are 2d arrays\n",
    "w1 = np.reshape(w1,(np.size(s),np.size(s)))     # 将输入从一列还原为矩阵\n",
    "w2 = np.reshape(w2,(np.size(s),np.size(s)))     # 将输入从一列还原为矩阵\n",
    "g_vals = np.reshape(g_vals,(np.size(s),np.size(s)))     # 将输出从一列还原为矩阵\n",
    "\n",
    "# Plot the surface\n",
    "ax1.plot_surface(w1,w2,g_vals,\n",
    "                 alpha = 0.25,color = 'r',cstride = 50,rstride = 50,edgecolor = 'k')\n",
    "ax1.set_title(r'$g\\left(\\mathbf{w}\\right)$',fontsize = 12)\n",
    "ax1.set_xlabel(r'$w_1$',fontsize = 10)\n",
    "ax1.set_ylabel(r'$w_2$',fontsize = 10)\n",
    "ax1.view_init(30,200)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 计算偏导数\n",
    "dg2dw1 = grad(g2,0)     # 关于w1的偏导数\n",
    "dg2dw2 = grad(g2,1)     # 关于w2的偏导数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import gridspec\n",
    "\n",
    "# produce grid of values to plot over\n",
    "s = np.linspace(-5,5,500)\n",
    "w1,w2 = np.meshgrid(s,s)\n",
    "\n",
    "# reshape grid and evaluate all points using our function\n",
    "w1 = np.reshape(w1,(1,np.size(w1)))\n",
    "w2 = np.reshape(w2,(1,np.size(w2)))\n",
    "\n",
    "# evaluate original function and partial derivatives\n",
    "g_vals = g2(w1,w2)                                         #---原函数值\n",
    "partial_1vals = np.array([dg2dw1(a[0],b[0]) for a,b in zip(w1.T,w2.T)])  #---关于w1的偏导数值\n",
    "partial_2vals = np.array([dg2dw2(a[0],b[0]) for a,b in zip(w1.T,w2.T)])  #---关于w2的偏导数值\n",
    "\n",
    "# reshape each partial evaluations appropriately for plotting\n",
    "w1 = np.reshape(w1,(np.size(s),np.size(s)))\n",
    "w2 = np.reshape(w2,(np.size(s),np.size(s)))\n",
    "g_vals = np.reshape(g_vals,(np.size(s),np.size(s)))\n",
    "partial_1vals = np.reshape(partial_1vals,(np.size(s),np.size(s)))\n",
    "partial_2vals = np.reshape(partial_2vals,(np.size(s),np.size(s)))\n",
    "\n",
    "# initialize figure\n",
    "fig = plt.figure(figsize = (9,4))\n",
    "ax1=fig.add_subplot(131,projection='3d')\n",
    "ax2=fig.add_subplot(132,projection='3d')\n",
    "ax3=fig.add_subplot(133,projection='3d')\n",
    "\n",
    "# plot surfaces\n",
    "ax1.plot_surface(w1,w2,g_vals,alpha = 0.25,color = 'r',cstride = 50,rstride = 50,edgecolor = 'k')\n",
    "ax1.set_title(r'$g\\left(\\mathbf{w}\\right)$',fontsize = 12)\n",
    "ax1.set_xlabel(r'$w_1$',fontsize = 10)\n",
    "ax1.set_ylabel(r'$w_2$',fontsize = 10)\n",
    "ax1.view_init(30,200)\n",
    "\n",
    "ax2.plot_surface(w1,w2,partial_1vals,alpha = 0.25,color = 'r',cstride = 50,rstride = 50,edgecolor = 'k')\n",
    "ax2.set_title(r'$\\frac{\\partial}{\\partial w_1}g\\left(\\mathbf{w}\\right)$',fontsize = 12)\n",
    "ax2.set_xlabel(r'$w_1$',fontsize = 10)\n",
    "ax2.set_ylabel(r'$w_2$',fontsize = 10)\n",
    "ax2.view_init(30,200)\n",
    "\n",
    "ax3.plot_surface(w1,w2,partial_2vals,alpha = 0.25,color = 'r',cstride = 50,rstride = 50,edgecolor = 'k') \n",
    "ax3.set_title(r'$\\frac{\\partial}{\\partial w_2}g\\left(\\mathbf{w}\\right)$',fontsize = 12)\n",
    "ax3.set_xlabel(r'$w_1$',fontsize = 10)\n",
    "ax3.set_ylabel(r'$w_2$',fontsize = 10)\n",
    "ax3.view_init(30,200)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.3 扁平化处理"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "from autograd.misc.flatten import flatten_func"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "z = np.ones((2,1))  # 2*1\n",
    "\n",
    "def f(input_weights):\n",
    "    a = input_weights[0]    # 标量\n",
    "    b = input_weights[1]    # 2*1\n",
    "    C = input_weights[2]    # 2*2\n",
    "    return (((a + np.dot(z.T,b) + np.dot(np.dot(z.T,C),z)))**2)[0][0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "N = 2 \n",
    "a = np.random.randn(1,1)\n",
    "b = np.random.randn(N,1)\n",
    "C = np.random.randn(N,N)\n",
    "\n",
    "input_weights = [a,b,C]\n",
    "\n",
    "# flatten an input function g\n",
    "g, unflatten_func, w = flatten_func(f, input_weights)     #--针对函数f进行扁平化计算"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<function autograd.misc.flatten.flatten_func.<locals>.<lambda>(_x, *args)>,\n",
       " <function autograd.core.make_vjp.<locals>.vjp(g)>,\n",
       " array([-1.20086733,  0.21948064, -0.71566824, -1.65675279, -1.60614462,\n",
       "        -2.12247714,  0.60849349]))"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g, unflatten_func, w \n",
    "# g: 扁平化后的函数\n",
    "# w: 扁平化后的参数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[array([[-1.20086733]]),\n",
       " array([[ 0.21948064],\n",
       "        [-0.71566824]]),\n",
       " array([[-1.65675279, -1.60614462],\n",
       "        [-2.12247714,  0.60849349]])]"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "input_weights  # 原始参数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([41.91184734])"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g(w)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "41.911847340277596"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f(input_weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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